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Finding the Third Proportional to 138,179,999,886 and 212,298,297,903

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Solution

The third proportional to 138,179,999,886 and 212,298,297,903 is: 326,172,871,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,179,999,886 : 212,298,297,903 = 212,298,297,903 : x
  2. Step 2: Convert to fraction form
    138,179,999,886/212,298,297,903 = 212,298,297,903/x
  3. Step 3: Cross multiply
    138,179,999,886x = 212,298,297,903 × 212,298,297,903
  4. Step 4: Simplify right side
    138,179,999,886x = 45,070,567,292,510,935,187,456
  5. Step 5: Solve for x
    x = 45,070,567,292,510,935,187,456/138,179,999,886
  6. Step 6: Final answer
    x = 326,172,871,107.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.